If a letter is chosen at random from the English alphabet, find the pr

1.	If a letter is chosen at random from the English alphabet, find the probability that the letter is chosen is (i) a vowel (ii) a consonant
Answer» (i) We know that, Probability of occurrence of an event = \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\) Total possible outcomes are alphabets from a to z Desired outcomes are a, e, i, o, u Total no. of outcomes are 26 and desired outputs are 5 Therefore, the probability of picking a vowel = \(\frac{5}{26}\) Conclusion: Probability of choosing a vowel is \(\frac{5}{26}\) (ii) We know that, Probability of occurrence of an event = \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\) Total possible outcomes are all alphabets from a to z Desired outcomes are all alphabets except a, e, i, o, u Total no. of outcomes are 26 and desired outputs are 21 Therefore, the probability of picking a consonant = \(\frac{21}{26}\) Conclusion: Probability of choosing a consonant is \(\frac{21}{26}\)

If a letter is chosen at random from the English alphabet, find the probability that the letter is chosen is (i) a vowel (ii) a consonant

Answer»

(i) We know that,

Probability of occurrence of an event

= \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\)

Total possible outcomes are alphabets from a to z

Desired outcomes are a, e, i, o, u

Total no. of outcomes are 26 and desired outputs are 5

Therefore, the probability of picking a vowel = \(\frac{5}{26}\)

Conclusion: Probability of choosing a vowel is \(\frac{5}{26}\)

(ii) We know that,

Probability of occurrence of an event

= \(\frac{Total\,no.of\,Desired\,outcomes}{Total\,no.of\,outcomes}\)

Total possible outcomes are all alphabets from a to z

Desired outcomes are all alphabets except a, e, i, o, u

Total no. of outcomes are 26 and desired outputs are 21

Therefore, the probability of picking a consonant = \(\frac{21}{26}\)

Conclusion: Probability of choosing a consonant is \(\frac{21}{26}\)